Articles

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

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  307157 3613 Pages:299-335

• Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

  Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao

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  303842 3484 Pages:336-363

• Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

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  303057 3342 Pages:364-400

• Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow

  Xiaodong Feng, Li Zeng, Tao Zhou

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  308932 3574 Pages:401-423

• An Improved Peridynamic Model with Energy-Based Micromodulus Correction Method for Fracture in Particle Reinforced Composites

  Zihao Yang, Shaoqi Zheng, Fei Han, Shangkun Shen, Xiaofei Guan

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  303282 3424 Pages:424-449

• A Quantitative Comparison of Physical Accuracy and Numerical Stability of Lattice Boltzmann Color Gradient and Pseudopotential Multicomponent Models for Microfluidic Applications

  Karun P. N. Datadien, Gianluca Di Staso, Herman M. A. Wijshoff, Federico Toschi

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  302222 3354 Pages:450-489

• A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

  Xucheng Meng, Guanghui Hu

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  303149 3845 Pages:490-523 Open-access

• A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves

  Yingxia Xi, Xia Ji

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  301722 3349 Pages:524-546

• A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field

  Shijun Zou, Xiaolong Zhao, Xijun Yu, Zihuan Dai

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  301411 3373 Pages:547-582

• Modeling of Bound Electron Effects in Particle-in-Cell Simulation

  Xiangyan An, Min Chen, Zheng-Ming Sheng, Jie Zhang

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  299885 3189 Pages:583-594